LCM of 396, 150, 513, 997, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 150, 513, 997, 354 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 396, 150, 513, 997, 354. So, keep reading to learn more.
Given numbers are 396,150,513,997,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,150,513,997,354 is 33193818900.
Find LCM of 396,150,513,997,354 with Prime Factorization
| 2 | 396, 150, 513, 997, 354 |
| 3 | 198, 75, 513, 997, 177 |
| 3 | 66, 25, 171, 997, 59 |
| 22, 25, 57, 997, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 22 x 25 x 57 x 997 x 59 = 33193818900
Therefore, the lowest common multiple of 396,150,513,997,354 is 33193818900.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
396 x 150 x 513 x 997 x 354 = 10754797323600
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
513 : 1, 3, 9, 19, 27, 57, 171, 513
997 : 1, 997
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,150,513,997,354, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
150:2x 3x 5x 5
513:3x 3x 3x 19
997:997
354:2x 3x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 10754797323600/(1x324)
LCM = 10754797323600/324
LCM = 33193818900
Thus, we can understand that the LCM of 396,150,513,997,354 is 33193818900.
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FAQs on LCM of 396, 150, 513, 997, 354
1. What is the LCM of 396, 150, 513, 997, 354?
Answer: LCM of 396, 150, 513, 997, 354 is 33193818900.
2. How to calculate the LCM of 396, 150, 513, 997, 354?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 396, 150, 513, 997, 354.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.